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olga2289 [7]
3 years ago
11

The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –2/3x + 6. What is the point-slope f

orm of the equation for this line? y – 3 = –2/3(x + 8) y + 3 = –2/3(x – 8) y + 8 = –2/3(x – 3) y – 8 = –2/3(x + 3)
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
8 0
I think the correct answer would be the last option. The correct point slope form would be <span>y – 8 = –2/3(x + 3). To write  this, we only follow the general formula y - y1 = m(x -x1) where m is the slope which is -2/3 and x1 and y1 is the point given above. We do as follows:</span>

y - y1 = m(x-x1)
y -  8 = -2/3 (x + 3)
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Simplify 1/2+2/3-1/4
avanturin [10]

Answer:

11/12

Step-by-step explanation:

5 0
3 years ago
Your computer server recently crashed and you need to make changes to a large manual. The manual contains approximately 16,000 w
tensa zangetsu [6.8K]

Answer:

The manual cost that will take to recreate by the firm is $ 90.51

Step-by-step explanation:

Given:

Number of words the manual contains= 16000

Number of words typed by a clerk in one hour and 20 minutes = 4160

To Find:

The total cost for recreating the manual = ?

Solution:

Step 1:  Finding the Number of hours is need to type 4160 words :

= 1\frac{20}{60} hours

\\\\=1\frac{1}{3} hours

\\\\=\frac{4}{3} hours

So it takes  \frac{4}{3} hours to type 4160 word

Step 2 :  Finding the Number of hours is needed to type 1 word  

= \frac{4160}{\frac{4}{3}}

=4160 \times \frac{3}{4}

= 3120 words per hour

Step 3 :  Finding the Number of hours is needed to type 16000 words

=\frac{\text{ total number of words}} {\text{ number of words written per hour}}

Substituting the values

= \frac{16000}{3120}

=  5.1282 hours

Step 4 :  Finding the cost for recreating the manual.

= number of hours  x cost per hour

=   5.1282 x $17.65

=  90.51

5 0
3 years ago
Which of the following equations is equivalent to log(y)= 3.994 ?
Kisachek [45]

Answer:

The correct answer is option D: y = 10^{3.994}

Step-by-step explanation:

Given:  

log(y)= 3.994

Solution:

A logarithm base b of a positive number x satisfies the following definition:

y =log_b(x) => b^y =x

For x > 0, b >0, b \neq 1

Also if no base  b  is indicated, the base of the logarithm is assumed to be  10 .

Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10

now

log_{10}(y)= 3.994

Then

y = 10^{3.994}

4 0
3 years ago
Suatu jenis roti memerlukan 150 gram tepung dan 50 gram mentega. Roti jenis lain memerlukan 75 gram tepung dan 75 gram mentega,
Katena32 [7]
Let the one type of the bread be bread A
The second type of the bread be bread B

Let the flour be 'f' and the butter be 'b'

We need 150f + 50b for bread A and 75f + 75b for bread B

We can compare the amount of flour and bread needed for each bread and write them as ratio

FLOUR

Bread A : Bread B
150 : 75
2 : 1

We have a total of 2250gr of flour, and this amount is to be divided into the ratio of 2 parts : 1 part. There is a total of 3 parts. 

2250 ÷ 3 = 750 gr for one part then multiply back into the ratio to get

Bread A : Bread B = (2×750) : (1×750) = 1500 : 750


BUTTER

Bread A : Bread B = 50 : 75 = 2 : 3

The amount of butter available, 1250 gr is to be divided into 2 parts : 3 parts.
There are 5 parts in total

1250 ÷ 5 = 250 gr for one part, then multiply this back into the ratio 

Bread A: Bread B = (2×250) : (3×250) = 500 : 750

Hence, for bread A we need 1500 gr of flour and 500 gr of butter, and for bread B, we need 750 gr of flour and 750 gr of butter.


3 0
3 years ago
Read 2 more answers
What is two mixed numbers that have the sum of 3
Juli2301 [7.4K]
Mixed numbers are a mix of a whole number and a fraction
a easy one is
1 and 1/4+1 and 3/4
1 and 1/2 +1 and 1/2
1 and 9/10 and 1 and 1/10
etc
6 0
3 years ago
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